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Box spline

In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box… 
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Related topics

Related topics

12 relations
Approximation theoryB-splineDirac delta functionList of numerical analysis topics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2007
2007
Scattered data interpolation by box splines
Given scattered data in IR, interpolation from a dilated box spline space SM (2 ·) is always possible for a fine enough scaling… 
2006
2006
C2 subdivision over triangulations with one extraordinary point
2002
2002
Subdivision of Box-Splines
  • M. Sabin
  • Tutorials on Multiresolution in Geometric…
  • 2002
  • Corpus ID: 38083870
The two original refinement algorithms for defining subdivision surfaces were based on the biquadratic and bicubic tensor-product… 
1997
1997
Box-spline based CSG blends
The zero set of a trivariate spline is used to blend basic CSG surfaces of algebraic degree up to four. The resulting volume… 
1995
1995
Blending Basic Implicit Shapes Using Trivariate Box Splines
To blend be~ween simple implicit surfaces, such as the sphere, the cone, the cylinder and the torus, we propose La locally employ… 
1991
1991
Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes
1991
1991
Box-spline tilings
We describe a simple method for generating tilings of IR d . The basic tile is defined as := {x ∈ IR d : |f(x)| < |f(x + j)| ∀j… 
1991
1991
Algorithms for cardinal interpolation using box splines and radial basis functions
SummaryWe describe an algorithm for (bivariate) cardinal interpolation which can be applied to translates of “basis functions… 
1987
1987
On triangular splines
This paper is concerned with some efficient algorithms for the calculation of triangular splines. Their development is based on… 
1985
1985
Triangular spline algorithms
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